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Finding the Fourth Proportional to 365,177.25, 547,758.54 and 165,460.41

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Solution

The fourth proportional to 365,177.25, 547,758.54 and 165,460.41 is: 248,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,177.25 : 547,758.54 = 165,460.41 : x
  2. Step 2: Convert to fraction form
    365,177.25/547,758.54 = 165,460.41/x
  3. Step 3: Cross multiply
    365,177.25x = 547,758.54 × 165,460.41
  4. Step 4: Simplify right side
    365,177.25x = 90,632,352,609.40
  5. Step 5: Solve for x
    x = 90,632,352,609.40/365,177.25
  6. Step 6: Final answer
    x = 248,187.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.